Pith Number

pith:AWVXIGHA

pith:2019:AWVXIGHA2VQTKNK4XER3UKYJFT

not attested not anchored not stored refs pending

Black Hole Shadows, Photon Rings, and Lensing Rings

Daniel E. Holz, Robert M. Wald, Samuel E. Gralla

arxiv:1906.00873 v2 · 2019-06-03 · astro-ph.HE · gr-qc

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AWVXIGHA2VQTKNK4XER3UKYJFT}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

27 papers in Pith

Critical phenomenon inside asymptotically flat black holes with spontaneous scalarization

Shadow of the Scalar Hairy Black Hole with Inverted Higgs Potential

Dimming of Photon Ring due to Photon-Axion Conversion around Kerr Black Holes

Observational signatures of negative mass wormholes through their shadows

Dynamical Boson Stars

Receipt and verification

First computed	2026-05-17T23:40:31.557773Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05ab7418e0d56135355cb923ba2b092cf73597e2442af4ee814a3b3ef08d28c2

Aliases

arxiv: 1906.00873 · arxiv_version: 1906.00873v2 · doi: 10.48550/arxiv.1906.00873 · pith_short_12: AWVXIGHA2VQT · pith_short_16: AWVXIGHA2VQTKNK4 · pith_short_8: AWVXIGHA

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/AWVXIGHA2VQTKNK4XER3UKYJFT \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 05ab7418e0d56135355cb923ba2b092cf73597e2442af4ee814a3b3ef08d28c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3d41d5b6b98491db6f50542787f1776c1978777ef9c71fafda1e16fc9b57ee3",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.HE",
    "submitted_at": "2019-06-03T15:29:09Z",
    "title_canon_sha256": "bc43984e2d95676923a5d9450d5314ead4a929e8de0e22988577aeadba56c6ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.00873",
    "kind": "arxiv",
    "version": 2
  }
}